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Finding the Fourth Proportional to 10,362.65, 15,543.97 and 2,571.46

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Solution

The fourth proportional to 10,362.65, 15,543.97 and 2,571.46 is: 3,857.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,362.65 : 15,543.97 = 2,571.46 : x
  2. Step 2: Convert to fraction form
    10,362.65/15,543.97 = 2,571.46/x
  3. Step 3: Cross multiply
    10,362.65x = 15,543.97 × 2,571.46
  4. Step 4: Simplify right side
    10,362.65x = 39,970,651.81
  5. Step 5: Solve for x
    x = 39,970,651.81/10,362.65
  6. Step 6: Final answer
    x = 3,857.19

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.